Abstract

This paper focuses on rank-based (R) estimation of parameters in a linear model with cluster correlated errors. The clusters are assumed to be independent, however, within a cluster the responses are allowed to be dependent. The method is applicable to general within cluster error structure. Application of a model which assumes the within cluster errors which follow an AR(1) process is developed. Discussion of an estimate of the AR(1) parameter is included. The algorithm first estimates the correlation structure by obtaining a robust rank-based estimate of the AR(1) parameter. The responses are then transformed to working independence and the model parameters are fit using ordinary rank regression. Estimates of standard errors—which utilize a sandwich estimate—are provided. An example and simulation results are discussed.

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